Each Mighty Muscle action figure cost $26 at full price.
Let x represent the cost of Mighty Muscle action figure at full price.
He bought 4 Mighty Muscle action at $92, hence:
4(x - 3) = 92
Simplifying the parenthesis:
4x - 12 = 92
Add 12 to both sides:
4x - 12 + 12 = 92 + 12
4x = 104
Dividing both sides by 4:
4x/4 = 104/4
x = 26
Therefore, each Mighty Muscle action figure cost $26 at full price
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Which linear equation would produce a y-intercept of (0,-7) and a slope of 5?
What is a quartic function with only two real zeros at x = 7 and x = 13
A. y = (x - 10) ^ 5 - 81 OR y = x ^ 5 - 20x ^ 4 + 92x ^ 3 + 34x ^ 2 - 20x + 91
B. Y= (x - 10) ^ 4 - 81 OR y = x^4 - 20x +91
C. y = (x - 3) ^ 4 - 41 OR y = 2x ^ 4 - 21x ^ 3 + 52x ^ 2 - 17x + 609
D. y = (x+ 8)^4 + 71 OR y = x^4 - 3x^3 + 7x^2 - 5x + 13
Zeros be a and b
a=7b=13Function
[tex]\\ \sf\longmapsto y=x^2-(a+b)x+ab[/tex]
[tex]\\ \sf\longmapsto y=x^2-(7+13)x+(7)(13)[/tex]
[tex]\\ \sf\longmapsto y=x^2-20x+91[/tex]
Option B
A shipment of 8 computers contains 3 with defects. Find the probability that a sample of size 2, drawn from the 8, will not contain a defective computer.
What is the probability that a sample of 2 of the 8 computers will not contain a defective computer?
(Type an integer or a simplified fraction.)
Answer:
5/28
Step-by-step explanation:
First of all, probability is defined as the number of ways a certain event can happen divided by the total ways of an event happening. In this scenario, we are asked to find the number of non-defective computers divided by the total ways that a sample of two can be chosen.
The number of ways to choose 2 computers from 8 can be written as [tex]8\choose2[/tex], which is equal to [tex]\frac{8\cdot7}{2}[/tex], which is 28. Now, there are 3 defective computers, for a total of 5 non-defective computers, so the probability is 5/28.
For BOTH Bruce and Felicia, graph a line to represent y, the area each person covered using x tiles.
The tiles that Bruce used were each 1/4 of a square foot in area. The table shows the area covered by Felicia’s tiles in terms of the number of tiles used.
Number of tiles Area covered
6 1
12 2
18 3
Bruce and Felicia want to know whose tiles cover the most area per tile.
If the area each person covered using x tiles. Bruce's tiles cover the most area per tile.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, the tiles that Bruce used were each 1/4 of a square foot in the area and a table shows as,
Number of tiles(y) 6 12 18
Area covered (x) 1 2 3
Felicia tile's relationship between the number of tiles and the area covered is,
(1/6) =(12/2)=(18/3)
y=(1/6)x
The equation of a line to represent y, the area each person covered using x tiles for Bruce is,
y =(1/4)x.
Thus, if the area each person covered using x tiles. Bruce's tiles cover the most area per tile.
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a 25 -ft ladder rests against the side of a house. the distance between the top of the lader and the ground is 17 ft more than the distance between the base od the ladder and the bottom of the house. find both distances.
Answer:
Step-by-step explanation:
x² + (x + 17)² = 25²
x² + x² + 34x + 289 = 625
2x² + 34x - 336 = 0
x² + 17x - 168 = 0
x = (-17 ±√(17² - 4(1)(-168))) / (2(1))
x = 7 or - 24 the negative distance makes no sense, but if we plug our good answer of 7 ft in for the base length, the height comes out to be + 24 ft
base = 7 ft
height = 24 ft
write down five million four thousand three hundread in standard form
the answer is 5,004,300
Veronica has two offers for a $65,000 student loan. The first loan has a 6.3% interest rate for 15 years, and the second loan has a 4.8% interest rate for 20 years. Both loans have interest compounded every month. Veronica is interested in finding the loan that minimizes the amount of interest that she will pay over the life of the loan. Which loan has a lower amount of interest paid?
The second option has a lower amount of interest paid.
In order to determine the loan option that minimizes loan payment, the future value of both loan options has to be determined.
FV = P (1 + r)^nm
FV = Future value
P = Present value
R = interest rate
m = number of compounding
N = number of years
First loan option
65000( 1 + 0.063/12)^300 = 312,707.21
Second loan option
65000( 1 + 0.048/12)^240 = 169,435.51
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-2.875 greater than or less than -2 7/8
Answer:
They are both the same.
Step-by-step explanation:
-2.875
7/8 = 0.875 thus -2 7/8 is equal to -2.875
PLEASE HELP ⁉️ POR FAVOR SOMEONE IM DESPERATE tHIS IS DUE IN THE mORiNG!
Answer:
See belowStep-by-step explanation:
1) Total points = 252) Points earned = 213) Percent score = 84%Proportion:
21 / 25 = 84% / 100%Solving the others in the table
21 out of 25 points:
21/25 = x/ 100 ⇒ x = 100*21/25 = 8415 out of 20 points:
15/20 = x/100 ⇒ x = 100*15/20 = 7547 out of 50 points:
47/50 = x/100 ⇒ x = 100*47/50 = 9428 out of 30 points:
20 / 30 = x/100 ⇒ x = 100*20/30 = 66.6619 out of 45 points:
19/45 = x/100 ⇒ x = 100*19/45 = 42.223 out of 4 points:
3/4 = x/100 ⇒ x = 100*3/4 = 75an expression for the area of a rectangular piece of sheet metal is X^2+8x+12.
An expression for the length of the same piece of sheet metal is x+6.
Determine an expression for the width.
[tex]\text{Area of rectangle} = \text{Length} \times \text{Width}\\\\\\\implies \text{Width} = \dfrac{\text{Area of reactangle}}{\text{Length}} = \dfrac{x^2 +8x +12}{x+6} = \dfrac{x^2 + 6x +2x +12}{x+6}\\\\\\\\ = \dfrac{x(x+6) +2(x+6)}{x+6}=\dfrac{(x+6)(x+2)}{x+6} = x+2[/tex]
pls help me i will give u thanks
Answer:
c) (6,5)
Step-by-step explanation:
The horizontal axis represents x values
The vertical axis represents y values
A hotel reservation number consist of 4 digits, followed by 1 letters, followed by 3 digits. How many different reservation numbers are possible?
Answer:
24000000
(might not be correct)
Step-by-step explanation:
might not be right but ill try:
ten digits: 10
4times:10x10x10x10=10000
times a letter:24 letters= 10000x24=240000
time three digits: 10x10x10=100x240000=24000000
The total number of combination for the repeating and not repeating cases are 260000000 and 604800 respectively.
What is permutation and combination?Permutation and combination are the ways of counting.
Permutation implies selection of objects regardless of arrangement while Combination implies the selection when arrangement is important.
Given that,
The hotel reservation number contains 4 digits, 1 letter and then 3 digits.
Now, there are two possible cases for the given problem as follows,
Case 1 : The digits are repeating.
Then the total number of combinations for digits varying from 0 to 9 and 26 letters will be,
10 × 10 × 10 × 10 × 26 × 10 × 10 × 10
= 260000000
Case 2 : The digits are not repeating.
Then, for seven digits out of 10 the number of combinations are ¹⁰P₇.
And, for 26 letters it is ²⁶P₁.
Thus the total number of combinations are ¹⁰P₇ × ⁶P₁ which is equal to,
10 × 9 × 8 × 7 × 6 × 5 × 4 × 26
= 604800
Hence, the different number of combinations for the reservation number for the two cases are 260000000 and 604800 respectively.
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Evaluate 11/6 - 2/8=
Answer:
19/12
Step-by-step explanation:
You invest AED 5000 in a saving account that earns 4% interest each year. If you do not use the account for a year, how much money will you have in your account after a year?
Answer:
5200 AED or 1404 USD
Step-by-step explanation:
You have 5000 in your account. If your money grows 4% each year, it's basically like multiplying by 1.04.
5000 * 1.04 = 5200
If the question is asking in USD, the conversion rate from AED to USD is
AED * 0.27 = USD
We can substitute
5200 AED* 0.27 = 1404 USD.
nos
5. In the diagram above, zero represents the location of Martin Luther King Middle School Point K represents the
library, which is located to the east of the middle school. In words, create a real-world situation that could
represent point L, and describe its location in relation to 0 and point K.
Answer:
1/12
Step-by-step explanation:
Please look the image attached
Answer:
I think it is c
Step-by-step explanation:
I might be wrong wait for a second answer if it is the same then I think I am right
Answer the following questions,
0
(a) What number is 95% of 80
0
(b) 85% of what is 51?
Answer:
95% of 80 is 76 and 85% of 60 is 51.
Step-by-step explanation:
Answer:
a. 76, b. 60.
Step-by-step explanation:
a) 80 * 0.95 = 76.
b) 0.85 x = 51
x = 51/0.85 = 60.
hey I need someone to help me
Answer:
A and F
Step-by-step explanation:
You plug in each one and see which ever one gets 20.
The width of a triangle is six more than twice the height. The area of the triangle is 88in2. Find the height and width of the triangle.
Answer:
w = 22 in, h = 8 in.
Step-by-step explanation:
Reading the problem, I immediately see two equations. This hints me towards a system of equations problem.
Statement 1 is The width of a triangle is six more than twice the height.
The width (w) of a triangle is (=) six (6) more (+) than twice (2) the height (h).
Equation 1: w = 6 + 2h
Statement 2 is The area of the triangle is 88 in2.
The formula for the area of a triangle is [tex]\frac{wh}{2}[/tex]. So, we get our second equation.
Equation 2: wh/2 = 88
We see that we have the same number of equations as unknowns, two. This is important as it lets us know that we can find two unknowns in the two equations. If there are more unknowns than equations, then we cannot find the values of all the variables. Look for another equation in the problem. However, if the # equations greater than or equal to number of unknowns, then we are ready to start solving! So, we can now move to solving.
Equation 1 isolates one of the unknowns (w). So, we can replace w in the second equation with the right side of eq 1. Then, we simplify for h.
[tex]\frac{wh}{2} = 88[/tex]
[tex]\frac{(6 + 2h)h}{2} = 88[/tex]
[tex]\frac{6h + 2h^2}{2} = 88[/tex]
[tex]6h + 2h^2 = 176[/tex]
[tex]2h^2 + 6h - 176 = 0[/tex]
[tex]h = -11, 8[/tex] (assuming you know how to solve quadratics)
Since we know that heights of triangles cannot be negative, we find that [tex]h = 8[/tex] in.
For the final step, we plug [tex]h[/tex] into our first equation to find [tex]w[/tex].
[tex]w = 6 + 2h[/tex]
[tex]w = 6 + 2(8)[/tex]
[tex]w = 6 + 16[/tex]
[tex]w = 22[/tex]
So, the answer is w = 22 in, h = 8 in.
To check if we were right, we can plug the values into both equations to see if they are equal. I will skip equation 1 since we used that equation "as-is" to find w.
[tex]\frac{wh}{2} = 88[/tex]
[tex]\frac{22 * 8}{2} = 88[/tex]
[tex]11 * 8 = 88[/tex]
[tex]88 = 88[/tex]
The solution checks out!
ill mark brainliest thanks
Answer:
first one
Step-by-step explanation:
30/5.472 i need to use dividing decimals
Answer:
18.240
Step-by-step explanation:
Change the divisor 0.3 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.
We then have the equations:
54.72 ÷ 3 = 18.240
and therefore:
5.472 ÷ 0.3 = 18.240
Both calculated to 3 decimal places.
1 8. 2 4 0
3 5 4. 7 2 0
− 3
2 4
− 2 4
0 7
− 6
1 2
− 1 2
0 0
− 0
0
Please look at picture for question.
Answer:
Amount spent on breakfest each day: 2B+J
Amount spent on granola bars each day: 2B
Amount spend on juice each day: J
Number of days buys breakfast: 7
Given m \| nm∥n, find the value of x. m n t (4x+4)° (2x-16)° Answer:
Answer:
4x+4)° (2x-16)
Step-by-step explanation:
(4x+4)° (2x-16)°
Hurry help plz
Solve for an angle in right triangles
[tex]\cos \angle B = \dfrac{2}{7}\\\\\implies \angle B = \cos^{-1} \left( \dfrac{2}{7} \right) = 1.28^{\circ}[/tex]
f(x) = 9x ^ 2 - 3 then what is f(3) ? Work must be shown for this problem or no credit will be earned.
Answer:
f ( 3 ) = 81
Step-by-step explanation:
→ Substitute in x = 3
9 × 3² - 3
→ Simplify
9 × 9 - 3
→ Simplify again
78
PLEASE HELP!!!!
On a Saturday, a library checked out 117 books. If 36 of the books were fiction, what is the ratio
of non-fiction books to fiction books checked out?
c¹⁰ ÷ c⁵ please help me asap thank you
Answer:
c^5
Step-by-step explanation:
All you have to do is take away the powers because of the law of indeces when dividing number with indices
Hope this helps :) im really bad at the explanations part :D
...........................................................
Solve the inequality
-5/7 - 6/7z < -2/7
[tex]-\cfrac{5}{7}-\cfrac{6}{7}z~~ < ~~-\cfrac{2}{7}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{7}}{-5-6z~~ < ~~-2} \\\\\\ \stackrel{\textit{dividing by a negative value}}{-6z~<~3\implies z ~\stackrel{\stackrel{notice}{\downarrow }}{>}~\cfrac{3}{-6}}\implies \boxed{z~>-\cfrac{1}{2}}[/tex]
Solve
-x + 4 = x + 6
Answer:
-1
Step-by-step explanation:
1. subtract 4 from both sides
-x = x+2
2. subtract x from both sides
-2x = 2
3. divide both sides by 2
simplify
x= -1
Hope this helps :)
One integer is 2 less than another. The sum of their squares is 34. Find the integers.
Answer:
no se bro no se inglés así no se que bas a aaer
Step-by-step explanation:
pero puedes consultar por